%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COL088-1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:12:17 PM UTC 2026
% Result : Unsatisfiable 24.01s 16.10s
% Output : CNFRefutation 24.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 13 unt; 0 nHn; 26 RR)
% Number of literals : 57 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reduction_rls_3,axiom,
( member(pair(comb_app(X1,X3),X4),rtrancl(contract))
| ~ member(pair(X1,X2),contract)
| ~ member(X3,comb)
| ~ member(pair(comb_app(X2,X3),X4),rtrancl(contract)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_rls_3) ).
cnf(reduction_refl,axiom,
( member(pair(X1,X1),rtrancl(contract))
| ~ member(X1,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_refl) ).
cnf(ap_E2,axiom,
( member(X2,comb)
| ~ member(comb_app(X1,X2),comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E2) ).
cnf(transD,axiom,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
cnf(trans_rtrancl,axiom,
trans(rtrancl(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_rtrancl) ).
cnf(ap_reduce1_2h5,hypothesis,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h5) ).
cnf(ap_reduce1_2c1,negated_conjecture,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2c1) ).
cnf(ap_reduce1_2h4,hypothesis,
member(pair(y,z),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h4) ).
cnf(contract_combD2,axiom,
( member(X2,comb)
| ~ member(pair(X1,X2),contract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_combD2) ).
cnf(comb_intros3,axiom,
( member(comb_app(X1,X2),comb)
| ~ member(X1,comb)
| ~ member(X2,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros3) ).
cnf(ap_reduce1_2h1,hypothesis,
member(r,comb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h1) ).
cnf(c_0_11,axiom,
( member(pair(comb_app(X1,X3),X4),rtrancl(contract))
| ~ member(pair(X1,X2),contract)
| ~ member(X3,comb)
| ~ member(pair(comb_app(X2,X3),X4),rtrancl(contract)) ),
reduction_rls_3 ).
cnf(c_0_12,axiom,
( member(pair(X1,X1),rtrancl(contract))
| ~ member(X1,comb) ),
reduction_refl ).
cnf(c_0_13,axiom,
( member(X2,comb)
| ~ member(comb_app(X1,X2),comb) ),
ap_E2 ).
cnf(c_0_14,axiom,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
transD ).
cnf(c_0_15,plain,
( member(pair(comb_app(X1,X2),comb_app(X3,X2)),rtrancl(contract))
| ~ member(pair(X1,X3),contract)
| ~ member(comb_app(X3,X2),comb) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,axiom,
trans(rtrancl(X1)),
trans_rtrancl ).
cnf(c_0_17,plain,
( member(pair(X1,comb_app(X2,X3)),rtrancl(contract))
| ~ member(pair(X1,comb_app(X4,X3)),rtrancl(contract))
| ~ member(pair(X4,X2),contract)
| ~ member(comb_app(X2,X3),comb) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_18,hypothesis,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
ap_reduce1_2h5 ).
cnf(c_0_19,negated_conjecture,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
ap_reduce1_2c1 ).
cnf(c_0_20,hypothesis,
( member(pair(comb_app(p,r),comb_app(X1,r)),rtrancl(contract))
| ~ member(pair(y,X1),contract)
| ~ member(comb_app(X1,r),comb) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,hypothesis,
member(pair(y,z),contract),
ap_reduce1_2h4 ).
cnf(c_0_22,axiom,
( member(X2,comb)
| ~ member(pair(X1,X2),contract) ),
contract_combD2 ).
cnf(c_0_23,negated_conjecture,
~ member(comb_app(z,r),comb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,axiom,
( member(comb_app(X1,X2),comb)
| ~ member(X1,comb)
| ~ member(X2,comb) ),
comb_intros3 ).
cnf(c_0_25,hypothesis,
member(r,comb),
ap_reduce1_2h1 ).
cnf(c_0_26,hypothesis,
member(z,comb),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COL088-1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.31 % Computer : n025.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon May 4 16:17:13 EDT 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.32 % start to proof: theBenchmark
% 24.01/16.10 % Version : CSE_E---1.7
% 24.01/16.10 % Problem : theBenchmark.p
% 24.01/16.10 % SZS status Unsatisfiable for theBenchmark.p
% 24.01/16.10 % SZS output start CNFRefutation
% See solution above
% 24.12/16.16 % Total time : 13.393s
%------------------------------------------------------------------------------